What is the 3772nd prime number?
The 3772nd prime number is 35419. The next prime is 35423 (a gap of 4) and the one before is 35407.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3772nd one is 35419.
- 2
35419 is prime because no prime up to ā35419 ā 188.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3772nd prime is close to 3772 Ć ln(3772) ā 31064, and here it is 35419.
- 4
35419 has no twin: neither 35417 nor 35421 is prime.
Primes around the 3772nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3769 | 35393 | 12 |
| 3770 | 35401 | 8 |
| 3771 | 35407 | 6 |
| 3772 | 35419 | 12 |
| 3773 | 35423 | 4 |
| 3774 | 35437 | 14 |
| 3775 | 35447 | 10 |
Questions
What is the 3772nd prime number?
35419.
Which prime number is 35419?
35419 is the 3772nd prime number.
What is the sum of the first 3772 primes?
62,913,593.